Accelerated CCGPS…Math II Name ANSWERS .
Distance and Midpoint Review Period_____Date______
I. Find the distance between the two given points. Then find the midpoint of the line
segment joining the two points.
1.) 2.) 3.)
distance = √29 distance = √157 distance = √13 .
Midpoint: ( 5 , -1/2 ) Midpoint: ( 1 , ½ ) Midpoint: ( -7/2 , -1 )
4.) 5.) 6.)
distance = 2√13 distance = √81.64 distance = √17 .
Midpoint: ( 2 , -2 ) Midpoint: ( 0.4 , 3 ) Midpoint: ( 1/6 , 4 )
II. The vertices of a triangle are given. Classify the triangle as scalene, isosceles, or
equilateral. Fully justify your answer using calculations.
7.) DABC is scalene .
8.) DDEF is isosceles .
9.) DGHI is scalene .
10.) DJKL is scalene .
III. Write an equation for the perpendicular bisector of the line segment joining the
two points.
11.) 12.) 13.)
IV. Use the given distance d between each of the two points to solve for all values
for the missing coordinate n . (Can you justify why each of these situations would
have two answers for n ?)
14.) 15.)
n = 0 or 4 n = -1 or 15
16.) 17.)
n = 0 or 8 n = -8.5 or 1.2
V. A coordinate plane is placed over the map of Wisconsin shown to the right. Each unit
on this grid represents 10.5 miles.
18.) Approximate the distance in miles between
LaCrosse and Green Bay.
about 166 miles
19.) How long would a flight from LaCrosse to
Green Bay take traveling at 225 miles per hour?
about 0.74 hours (or 44 minutes)
20.) Approximate the distance in miles between
EauClaire and LaCrosse.
about 74 miles
21.) What is the minimum time necessary to walk
from EauClaire to LaCrosse walking at a rate
of five miles per hour?
about 14.8 hours
22.) Approximate the distance in miles between Green Bay and EauClaire.
about 169 miles
23.) How long would a trip from Green bay to EauClaire take traveling at
55 miles per hour?
about 3.1 hours
24.) At the halfway point of your trip from Green Bay to EauClaire, you need to
pick up your friend. Approximate the coordinates of the meeting point.
(21 , 31.5)
25.) If you leave Green Bay at 10:30 a.m., at what time will you meet your friend?
12:03 p.m.